Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_2\times C_{18}\)
Signature \([ 0; 2, 18, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_2\times C_{18}$
Group identifier: [36,5]
Signature: $[ 0; 2, 18, 18 ]$
Conjugacy classes for this refined passport: 2, 25, 36

The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E\times E$
Corresponding character(s): 6, 8, 14, 16

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.36-5.0.2-18-18.1.1

  (1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) (19,28) (20,29) (21,30) (22,31) (23,32) (24,33) (25,34) (26,35) (27,36)
  (1,22,7,20,5,26,3,24,9,19,4,25,2,23,8,21,6,27) (10,31,16,29,14,35,12,33,18,28,13,34,11,32,17,30,15,36)
  (1,36,6,30,8,32,2,34,4,28,9,33,3,35,5,29,7,31) (10,27,15,21,17,23,11,25,13,19,18,24,12,26,14,20,16,22)